Consider the following simple model of the Mile End Park Beautification Initiative (from the lectures). There are two students, each of whom can choose to plant flowers (F) or not to plant flowers (N). If both students plant flowers, then the appreciation) benefit is 95 to each player. If exactly one student plants flowers, then the benefit is 50 to each player. The cost to either pla planting flowers is c > 0, regardless of the other player's choice. Each student starts (before any costs or benefits) with a payoff of zero. The above assumptions lead to the following game in strategic form. F 95 — с, 95 — с 50 - с, 50 N 50, 50 - с 0,0 Suppose thatc< 95.

Microeconomic Theory
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ISBN:9781337517942
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Chapter8: Game Theory
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THE PRISONERS' DILEMMA: ESSENTIAL FEATURES
Consider the following simple model of the Mile End Park Beautification Initiative (from the lectures).
There are two students, each of whom can choose to plant flowers (F) or not to plant flowers (N). If both students plant flowers, then the (flower
appreciation) benefit is 95 to each player. If exactly one student plants flowers, then the benefit is 50 to each player. The cost to either player of
planting flowers is c > 0, regardless of the other player's choice. Each student starts (before any costs or benefits) with a payoff of zero.
The above assumptions lead to the following game in strategic form.
F
N
F
95 — с, 95 — с
50- с, 50
N
50, 50 — с
0,0
Suppose that c < 95.
This game is a prisoners' dilemma if and only if the parameter c is strictly greater than which value?
Transcribed Image Text:THE PRISONERS' DILEMMA: ESSENTIAL FEATURES Consider the following simple model of the Mile End Park Beautification Initiative (from the lectures). There are two students, each of whom can choose to plant flowers (F) or not to plant flowers (N). If both students plant flowers, then the (flower appreciation) benefit is 95 to each player. If exactly one student plants flowers, then the benefit is 50 to each player. The cost to either player of planting flowers is c > 0, regardless of the other player's choice. Each student starts (before any costs or benefits) with a payoff of zero. The above assumptions lead to the following game in strategic form. F N F 95 — с, 95 — с 50- с, 50 N 50, 50 — с 0,0 Suppose that c < 95. This game is a prisoners' dilemma if and only if the parameter c is strictly greater than which value?
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